Is 37601 a prime number?

37 601 is an odd number, because it is not evenly divisible by 2.

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• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 37 601 is about 193.910.

Thus, the square root of 37 601 is not an integer, and therefore 37 601 is not a square number.

The square of a number (here 37 601) is the result of the product of this number (37 601) by itself (i.e., 37 601 × 37 601); the square of 37 601 is sometimes called "raising 37 601 to the power 2", or "37 601 squared".

The square of 37 601 is 1 413 835 201 because 37 601 × 37 601 = 37 601² = 1 413 835 201.

As a consequence, 37 601 is the square root of 1 413 835 201.

37 601 is a number with 5 digits.

The multiples of 37 601 are all integers evenly divisible by 37 601, that is all numbers such that the remainder of the division by 37 601 is zero. There are infinitely many multiples of 37 601. The smallest multiples of 37 601 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37 601 too, since 0 × 37 601 = 0
• 37 601: indeed, 37 601 is a multiple of itself, since 37 601 is evenly divisible by 37 601 (we have 37 601 / 37 601 = 1, so the remainder of this division is indeed zero)
• 75 202: indeed, 75 202 = 37 601 × 2
• 112 803: indeed, 112 803 = 37 601 × 3
• 150 404: indeed, 150 404 = 37 601 × 4
• 188 005: indeed, 188 005 = 37 601 × 5
• etc.

• Preceding numbers: …37 599, 37 600
• Following numbers: 37 602, 37 603…

Nearest numbers from 37 601

• Preceding prime number: 37 591
• Following prime number: 37 607

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• 37 601 est-il un nombre premier ?